A306750 Least prime of exactly n consecutive primes all of which are regular.

61, 137, 239, 41, 2447, 71, 4271, 3331, 3701, 3, 15193, 10253, 163, 107053, 51343, 1185313, 584557, 491299, 2696021, 4042523, 10872649, 6806243, 8738641, 6925999, 17669539, 120490499, 17881, 14906383, 211144489, 510669881, 126276229, 1913754191

Offset

1,1

Comments

Calculated from the list of primes by Hart et al.

Links

Table of n, a(n) for n=1..32.

William Hart, David Harvey and Wilson Ong, Irregular primes to two billion, Mathematics of Computation, Vol. 86, No. 308 (2017), pp. 3031-3049; also available at arXiv:1605.02398 [math.NT], 2016.

David Harvey, Irregular primes to two billion (includes a list of all primes less than 2^31).

Example

a(1) = 61 since it is regular and both its neighboring primes 59 and 67 are irregular.

Crossrefs

Cf. A007703, A000928, A105019.

Sequence in context: A073761 A142093 A063337 * A142172 A168023 A044312

Adjacent sequences: A306747 A306748 A306749 * A306751 A306752 A306753

Keyword

nonn,more

Author

Amiram Eldar, Mar 07 2019

Status

approved